More generally, we can try to use signalling between agents to infer properties of space-time of a given theory, as illustrated in Figure REF .
Some steps in this direction have been given for example in Refs. [1]}, [2]}, [3]}. This would be of particular interest in the context of field theories [4]}, [5]}, [6]}.
We leave the generalization of the operational approach depicted in Figure REF  to reconstruct position as future work.
